On the centralizers in the weyl algebra

Let P, Q be elements of the Weyl algebra W. We prove that if [Q, P] = 1, then the centralizer of P is the polynomial algebra k[P]. © 2011 American Mathematical Society.

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Detalles Bibliográficos
Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 2012
Materias:
Centralizers
Weyl algebra
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v140_n4_p1233_Guccione
http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029939_v140_n4_p1233_Guccione
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spelling paper:paper_00029939_v140_n4_p1233_Guccione2023-06-08T14:23:32Z On the centralizers in the weyl algebra Guccione, Jorge Alberto Guccione, Juan José Centralizers Weyl algebra Let P, Q be elements of the Weyl algebra W. We prove that if [Q, P] = 1, then the centralizer of P is the polynomial algebra k[P]. © 2011 American Mathematical Society. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v140_n4_p1233_Guccione http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Centralizers
Weyl algebra
spellingShingle Centralizers
Weyl algebra
Guccione, Jorge Alberto
Guccione, Juan José
On the centralizers in the weyl algebra
topic_facet Centralizers
Weyl algebra
description Let P, Q be elements of the Weyl algebra W. We prove that if [Q, P] = 1, then the centralizer of P is the polynomial algebra k[P]. © 2011 American Mathematical Society.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title On the centralizers in the weyl algebra
title_short On the centralizers in the weyl algebra
title_full On the centralizers in the weyl algebra
title_fullStr On the centralizers in the weyl algebra
title_full_unstemmed On the centralizers in the weyl algebra
title_sort on the centralizers in the weyl algebra
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v140_n4_p1233_Guccione
http://hdl.handle.net/20.500.12110/paper_00029939_v140_n4_p1233_Guccione
work_keys_str_mv AT guccionejorgealberto onthecentralizersintheweylalgebra
AT guccionejuanjose onthecentralizersintheweylalgebra
_version_ 1768541681385209856

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